非阿贝尔对称群的Routh方法
Routh's procedure for non-Abelian symmetry groups
摘要：
我们延长劳斯的还原过程中的任意拉格朗日系统（即，一个拉格朗日不一定是动能和势能的差异）的对称群，这不一定是阿贝尔。为此，我们分析了欧拉-拉格朗日场对速度相空间中动量水平集的限制。我们提出了一种新的分析方法的基础上使用的准速度。本文讨论了由简化方程的解重构全欧拉-拉格朗日方程的解的问题。
英文摘要：
We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a symmetry group which is not necessarily Abelian. To do so we analyse the restriction of the Euler-Lagrange field to a level set of momentum in velocity phase space. We present a new method of analysis based on the use of quasi-velocities. We discuss the reconstruction of solutions of the full Euler-Lagrange equations from those of the reduced equations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
